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Finding the Fourth Proportional to 150.06, 207.30 and 106.32

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Solution

The fourth proportional to 150.06, 207.30 and 106.32 is: 146.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.06 : 207.30 = 106.32 : x
  2. Step 2: Convert to fraction form
    150.06/207.30 = 106.32/x
  3. Step 3: Cross multiply
    150.06x = 207.30 × 106.32
  4. Step 4: Simplify right side
    150.06x = 22,040.14
  5. Step 5: Solve for x
    x = 22,040.14/150.06
  6. Step 6: Final answer
    x = 146.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.